240249963409 has 27 divisors (see below), whose sum is σ = 254868906747. Its totient is φ = 226450686000.

The previous prime is 240249963391. The next prime is 240249963433. The reversal of 240249963409 is 904369942042.

The square root of 240249963409 is 490153.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 230829319809 + 9420643600 = 480447^2 + 97060^2 .

It is not a de Polignac number, because 240249963409 - 2⁵ = 240249963377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240249963439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1138625314 + ... + 1138625524.

Almost surely, 2^240249963409 is an apocalyptic number.

240249963409 is the 490153-rd square number.

240249963409 is the 245077-th centered octagonal number.

It is an amenable number.

240249963409 is a deficient number, since it is larger than the sum of its proper divisors (14618943338).

240249963409 is an frugal number, since it uses more digits than its factorization.

240249963409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 240249963409 in words is "two hundred forty billion, two hundred forty-nine million, nine hundred sixty-three thousand, four hundred nine".